7,612,671

3 × 11 × 197 × 1171

Starting at 7,612,671, the Collatz iteration reaches 1 after 155 steps. The first transition is 22838014; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 197 × 1171

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,138,688

Proper Divisor Sum 3,526,017

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7612663 ← → #7612723

Radix Representation

Decimal	7612671
Binary	11101000010100011111111 (23 bits)
Octal	0o35024377
Hexadecimal	0x7428FF

Divisor Catalog (16)

1 3 11 33 197 591 1,171 2,167 3,513 6,501 12,881 38,643 230,687 692,061 2,537,557 7,612,671

Collatz Trajectory (155 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,612,671 22,838,014 11,419,007 34,257,022 17,128,511 51,385,534 25,692,767 77,078,302 38,539,151 115,617,454 57,808,727 173,426,182 86,713,091 260,139,274 130,069,637 390,208,912 195,104,456 97,552,228 48,776,114 24,388,057 73,164,172 36,582,086 18,291,043 54,873,130 27,436,565 82,309,696 41,154,848 20,577,424 10,288,712 5,144,356 2,572,178 1,286,089 3,858,268 1,929,134 964,567 2,893,702 1,446,851 4,340,554 2,170,277 6,510,832 3,255,416 1,627,708 813,854 406,927 1,220,782 610,391 1,831,174 915,587 2,746,762 1,373,381 4,120,144 2,060,072 1,030,036 515,018 257,509 772,528 386,264 193,132 96,566 48,283

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